most citedBest constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2024

Existence results for mixed local and nonlocal elliptic equations involving singularity and nonregular data

Souvik Bhowmick, Sekhar Ghosh

In this paper, we prove the existence of weak, veryweak and duality solutions to a class of elliptic problems involving singularity and measure data which is given by: $-Δu+(-Δ)^s…

math.AP2024

A weighted eigenvalue problem for mixed local and nonlocal operators with potential

R. Lakshmi, Ratan Kr. Giri, Sekhar Ghosh

We study an {\it indefinite weighted eigenvalue problem} for an operator of {\it mixed-type} (that includes both the classical {\it -Laplacian} and the {\it fractional -Lapla…

math.AP2023★ 2 cited

Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups

Sekhar Ghosh, Vishvesh Kumar, Michael Ruzhansky

In this paper, we establish the sharp fractional subelliptic Sobolev inequalities and Gagliardo-Nirenberg inequalities on stratified Lie groups. The best constants are given in ter…